editing disabled

The temperaments listed are 19edo-distinct, meaning that they are all different even if tuned in 19edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
19, 8
<<1 4 4]]
Meantone
1.231
81/80
19, 4
<<2 -11 -22]]
Hogzilla
4.464
4428675/4194304
19, 9
<<3 -7 -18]]
Stump
3.493
273375/262144
19, 2
<<4 -3 -14]]
Negri
2.739
16875/16384
19, 6
<<5 1 -10]]
Magic
2.417
3125/3072
19, 5
<<6 5 -6]]
Hanson
2.685
15625/15552
19, 7
<<7 9 -2]]
Sensi
3.407
78732/78125
19, 1
<<8 13 2]]
Unicorn
4.363
1594323/1562500
19, 3
<<9 -2 -24]]
Unsmate
5.017
17578125/16777216

7-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
19, 8
<<1 4 10 4 13 12]]
Meantone
2.205
81/80 126/125
19, 4
<<2 8 1 8 -4 -20]]
Godzilla
2.181
49/48 81/80
19, 9
<<3 12 11 12 9 -8]]
Liese
3.211
81/80 686/675
19, 2
<<4 -3 2 -14 -8 13]]
Negri
2.245
49/48 225/224
19, 6
<<5 1 12 -10 5 25]]
Magic
2.937
225/224 245/243
19, 5
<<6 5 3 -6 -12 -7]]
Keemun
2.280
49/48 126/125
19, 7
<<7 9 13 -2 1 5]]
Sensi
3.080
126/125 245/243
19, 1
<<8 13 4 2 -16 -27]]
Rhinoceros
3.857
49/48 4375/4374
19, 3
<<10 2 5 -20 -20 6]]
Spell
3.965
49/48 3125/3072

11-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
19, 8
<<1 4 10 6 4 13 6 12 0 -18]]
Meanenneadecal
1.918
45/44 56/55 81/80
19, 4
<<2 8 1 12 8 -4 12 -20 0 30]]
Godzilla
2.343
45/44 49/48 81/80
19, 9
<<3 -7 -8 -1 -18 -21 -12 1 22 25]]
Triton
2.933
45/44 56/55 1029/1000
19, 2
<<4 -3 2 5 -14 -8 -6 13 22 7]]
Negri
2.038
45/44 49/48 56/55
19, 6
<<5 1 12 11 -10 5 0 25 22 -11]]
Charisma
2.658
45/44 56/55 245/243
19, 5
<<6 5 3 -2 -6 -12 -24 -7 -22 -16]]
Keemun
2.468
49/48 56/55 100/99
19, 7
<<7 9 13 4 -2 1 -18 5 -22 -34]]
Sensis
2.980
56/55 100/99 245/243
19, 1
<<8 13 4 10 2 -16 -12 -27 -22 14]]
Rhinoceros
3.346
49/48 100/99 126/121
19, 3
<<10 2 5 3 -20 -20 -30 6 0 -9]]
Spell
3.548
49/48 56/55 125/121

13-limit temperaments

Period,
generator
Wedgie
Name
Complexity
Commas
19, 8
<<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]]
Meanenneadecal
2.251
45/44 56/55 78/77 81/80
19, 4
<<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]]
Godzilla
2.219
45/44 49/48 78/77 81/80
19, 9
<<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]]
Lisa
2.947
45/44 81/80 91/88 147/143
19, 2
<<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]]
Negri
1.824
45/44 49/48 56/55 78/77
19, 6
<<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]]
Glamour
2.770
45/44 56/55 91/88 507/500
19, 5
<<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]]
Qeema
2.633
45/44 49/48 78/77 126/125
19, 7
<<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]]
Sensis
2.664
56/55 78/77 91/90 100/99
19, 1
<<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]]
Rhinoceros
3.093
49/48 78/77 100/99 126/121
19, 3
<<10 2 5 3 -2 -20 -20 -30 -40 6 0 -12 -9 -24 -18]]
Spell
3.483
49/48 56/55 78/77 125/121